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Question

If y=Ax+Bx2, then x2d2ydx2 is equal to

A
2y
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B
y2
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C
y3
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D
y4
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Solution

The correct option is A 2y
Given, y=Ax+Bx2
On differentiating w,r,t x, we get
dydx=Ax2+2Bx
Again differentiating, we get
d2ydx2=2Ax3+2B
x2d2ydx2=2Ax+2Bx2 =2y

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